simplify (x^3)^{-4}

Solution

simplify

(x^{3})^{- 4}

\frac{1}{x ^{12}}

Solution steps

(x^{3})^{- 4}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{3 (- 4)}

3 (- 4) = - 12

= x^{- 12}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 12} = \frac{1}{x ^{12}}

= \frac{1}{x ^{12}}

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